What is the Least Common Multiple of 74238 and 74253?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74238 and 74253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74238 and 74253, than apply into the LCM equation.

GCF(74238,74253) = 3
LCM(74238,74253) = ( 74238 × 74253) / 3
LCM(74238,74253) = 5512394214 / 3
LCM(74238,74253) = 1837464738

Least Common Multiple (LCM) of 74238 and 74253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74238 and 74253. First we will calculate the prime factors of 74238 and 74253.

Prime Factorization of 74238

Prime Factorization of 74253

Now multiplying the highest exponent prime factors to calculate the LCM of 74238 and 74253.

LCM(74238,74253) = 2¹ × 3¹ × 12373¹ × 53¹ × 467¹
LCM(74238,74253) = 1837464738